Exponential Growth & Decay

  • Thread starter Buckled
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A rabbit population satisfies the logistic equation dy/dt=2*10^-7y(10^6-y) where t is the time measured in months. The population is suddenly reduced to 40%of its steady state size by myxomatosis.
a) If the myxo' then has no effect how large is the population 8 months later?
b)How long will it take for the population to build up again to 90% of its steady state size?
 

Answers and Replies

  • #2
danago
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What have you tried so far? The first step will be to solve the differential equation to find the function y(t)
 

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